10633561521312 has 48 divisors (see below), whose sum is σ = 27918385895232. Its totient is φ = 3543849154560.

The previous prime is 10633561521241. The next prime is 10633561521313. The reversal of 10633561521312 is 21312516533601.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×10633561521312² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10633561521313) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9980268 + ... + 10994219.

It is an arithmetic number, because the mean of its divisors is an integer number (581633039484).

Almost surely, 2^{10633561521312} is an apocalyptic number.

10633561521312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10633561521312 is an abundant number, since it is smaller than the sum of its proper divisors (17284824373920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10633561521312 is a wasteful number, since it uses less digits than its factorization.

10633561521312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20979781 (or 20979773 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 39.

The spelling of 10633561521312 in words is "ten trillion, six hundred thirty-three billion, five hundred sixty-one million, five hundred twenty-one thousand, three hundred twelve".